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Mathematical Explanation and the Biological Optimality Fallacy

Published online by Cambridge University Press:  01 January 2022

Abstract

Pure mathematics can play an indispensable role explaining empirical phenomena if recent accounts of insect evolution are correct. In particular, the prime life cycles of cicadas and the geometric structure of honeycombs are taken to undergird an inference to the best explanation about mathematical entities. Neither example supports this inference or the mathematical realism it is intended to establish. Both incorrectly assume that facts about mathematical optimality drove selection for the respective traits and explain why they exist. We show how this problem can be avoided, identify limitations of explanatory indispensability arguments, and attempt to clarify the nature of mathematical explanation.

Type
Explanation
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

For helpful feedback, thanks to Alan Baker, Mark Colyvan, Marc Lange, Elliott Sober, and audiences at the Philosophy of Science Association Meeting (Atlanta, 2016), Nordic Network for Philosophy of Science (Estonia, 2016), the University of Florida, and Florida State University.

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